Question

what is the probability of picking a green marble and flipping heads? write your answer as a fraction or a whole number. with fractions, use a slash (/) to separate the numerator and denominator.

Explanation:

Step1: Calculate probability of picking a green marble

Count the marbles. There are 8 green marbles and 3 non - green marbles, so total marbles are 8 + 3=11. Probability of picking a green marble $P(G)=\frac{8}{11}$.

Step2: Calculate probability of flipping heads

A coin has 2 sides, so probability of flipping heads $P(H)=\frac{1}{2}$.

Step3: Calculate joint probability

Since the two events (picking a marble and flipping a coin) are independent, joint probability $P = P(G)\times P(H)$. So $P=\frac{8}{11}\times\frac{1}{2}=\frac{8}{22}=\frac{4}{11}$.

Answer:

$\frac{4}{11}$